{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "13ac3199",
   "metadata": {},
   "source": [
    "# 微积分基础"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ae6573e",
   "metadata": {},
   "source": [
    "## 极限\n",
    "\n",
    "极限的概念是数学的一个重要概念。它是指某一函数在某一点附近的趋势，当这个点靠近某一边界时，函数的增长速度变得很慢，而当这个点靠近另一边界时，函数的增长速度变得很快。极限的定义是：如果函数在某一点$x$附近有界，那么在$x$的某一邻域内，函数的增长速度趋于某一常数，这个常数就是函数的极限。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e57c842",
   "metadata": {},
   "source": [
    "## 常见的极限\n",
    "\n",
    "1. 1/x的极限：当x趋向于无穷大时，1/x趋向于0。\n",
    "$$\\lim_{x\\to\\infty} \\frac{1}{x} = 0$$\n",
    "\n",
    "2. 1/x当x趋向于0时，1/x趋向于无穷大。\n",
    "$$\\lim_{x\\to0^+} \\frac{1}{x} = \\infty$$\n",
    "\n",
    "3. e的x次方的极限：当x趋向于负无穷大时，e的x次方趋向于0。\n",
    "$$\\lim_{x\\to-\\infty} e^{x} = 0$$\n",
    "\n",
    "4. 正切函数的极限：当x趋向PI/2时，正切函数趋向于无穷大。\n",
    "$$\\lim_{x\\to\\frac{\\pi}{2}} \\tan x = \\infty$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "87ba4ab0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A6667TkWLFnWmBzC9evVyutCCHnjgAWd80/PPP6+VK1c68zR9++23GjhwoIdnASDRWpeY3g2Ibb4KS5s2bXKCUaNGjXTjjTeqYsWK+uabb1S5cmXncbsyzuZeCmrbtq3effddvfHGGzr//PP14YcfasKECWratKmHZwEgUXTpciIsBQJe1wZAKEmBAG/R02VTB9hVcTbYm/FLgH8cOHBApUuXzuzWL1WqVER//uHDkn2X279f+uYbu6I3oj8eQIQ+v33VsgQA8aRECalrV3c/whftAoggwhIAeOiGG9ztBx8wmzcQqwhLAOChTp0k6+mz6drmzfO6NgByQ1gCAI+74rp1c/ffe8/r2gDIDWEJADx2003udtw4d94lALGFsAQAMdAVV6WKrSAgff6517UBkBNhCQA8Vry4dPvt7v7o0V7XBkBOhCUAiAF9+pxYWDfHkpUAPEZYAoAYcN557qSUx45JY8d6XRsAWRGWACBG3HOPu331VTc0AYgNhCUAiBG25rctf2JzLo0f73VtAAQRlgAghuZcuvded/8vf/G6NgCCCEsAEEP693evjps9W1qwwOvaADCEJQCIIdWrSzff7O4/9ZTXtQFgCEsAEGOGDpWSkqQJE6TFi72uDQDCEgDEmCZNTiyBMny417UBQFgCgBj02GNu65JdFUfrEuAtwhIAxKBzzz3RuvS730mBgNc1AhIXYQkAYpQN8E5OlqZPd5dBAeANwhIAxKh69aRBg060LqWne10jIDERlgAghv3+9+6s3qtWSaNGeV0bIDERlgAghpUte2K+JRv0vX691zUCEg9hCQBi3J13SldcIR086C6HwmBvILoISwAQ44oUkd54Q0pJkaZMkf71L69rBCQWwhIAxIFzzpGGDXP3Bw6U1qzxukZA4iAsAUCcGDxYuuwyad8+qWdP6ehRr2sEJAbCEgDEiWLFpHfekcqVkxYscAd8Ayh8hCUAiCO1a0tvvunuP/OM9OGHXtcI8D/CEgDEmR49pAcfdPfvuIO144DCRlgCgDhkrUodO7rTCXTrJqWmel0jwL8ISwAQp+OXxo1zr5LbsMENTnv2eF0rwJ98FZZGjhypiy66SGeeeaaqVKmi7t27a5WtERDG2LFjlZSUlK2UKFEianUGgIKygd6ffSZVqyYtXSr95jduSxOAyPJVWJo1a5YGDBigb775RlOnTlV6ero6dOigAwcOhH1emTJltHXr1szy888/R63OAHA6GjRwJ6q04DR7tnTddQQmINKKyUcmT558UquRtTAtXLhQl19+ecjnWWtSNftqBgBxqHlz6dNPpauvlr74QurcWZo4UTrzTK9rBviDr1qWckpLS3O2FSpUCHvc/v37VadOHdWqVUvdunXTihUrwh5/5MgR7d27N1sBAC+1beu2MJUpY63sbnDavdvrWgH+4NuwlJGRoUGDBunSSy9V06ZNQx7XqFEjjR49Wh9//LHefvtt53lt27bVpk2bwo6NKlu2bGaxkAUAXrPZvWfMsC+I0rx50qWXSmvXel0rIP4lBQL+XL+6f//++vzzz/X111+rZs2aeX6ejXNq0qSJevbsqREjRoRsWbISZC1LFpisJcvGPwHwBxvvWLp06cwW6FKlSikeLF8udeokbd4sVawojR8v/epXXtcKiD32+W2NHqf6/PZly9LAgQM1adIkffnll/kKSqZ48eJq0aKFVq9eHfKYlJQU55eatQBArLDG9PnzpVatpJ07pfbtpddfl/z51RgofL4KS9ZIZkFp/PjxmjFjhurVq5fvn3H8+HEtW7ZM1atXL5Q6AkA01Kjhjl36n/+xFnNrbZduucW+SXtdMyD++Cos2bQBNu7o3XffdeZaSk1NdcqhQ4cyj+nVq5eGDh2aeXv48OH64osvtHbtWi1atEi33XabM3XAXXfd5dFZAEBklCwpvf++9NxzJyaxtNYmW4QXQIKGpddee83pd2zXrp3TMhQs7733XuYxGzZscOZSCtq9e7f69evnjFPq3Lmz0385Z84cnXvuuR6dBQBETlKS9PDD0ldfSXYtyk8/SZdcItl3xsOHva4dEB98O8A7FgeIAYgv8TrAO5Rdu6T775fefde93aSJ9Oab7rQDQCLam8gDvAEAJ7MpBd55x706rmpV6Ycf3OkFevWSsjS4A8iBsAQACaZ7d+n776W+fd1uun/9y+ack555RsoyxBPAfxGWACBBW5msC84mr7z4YmnfPunRR6Wzz7bxn9LRo17XEIgdhCUASGAXXSTNnWtraUq1a0tbtkj33Sc1biyNGUNoAgxhCQASXJEi0h13SD/+KI0a5Y5nWrdOuvNOyaare/ZZW2vT61oC3iEsAQAcKSm2AoK7npyNX7K5ea2l6ZFH3GkHbAoCm3oASDSEJQDASZNZDh7sti6NHi3ZtHM2pumFF6RzznGXT7HJLumiQ6IgLAEAQrY09ekjLVsmTZokdeniXj03Y4Z0001ua9OgQe46dMzYBz8jLAEATjmmyYKSBab166XHHnPXntu+XfrLX6TWrd0Wp2HDpJUrva4tEHnM4B0BzOAN+JPfZvCOpGPHpMmT3dnAP/5YOnjwxGPWbde1q9StmzstgYUtIJ4/vwlLEUBYAvyJsJQ3+/dLn3zizg7+xRdukAqqVk269lq3ZapdO6lsWS9rCmRHWIoiwhLgT4Sl/Nu9W/r8c7e1ybY2MDyoaFG3penqq91i3XfFi3tZWyS6vYSl6CEsAf5EWDo9drXczJluq9PUqe48TlnZr9bWprvsMndrQYpfMaKJsBRFhCXAnwhLkbVhgzRtmhucbLtjR/bHixWTWrRwg5MVm13cZhW3K/CAwkBYiiLCEuBPhKXCk5HhTknwn/9Is2dLX38tbdp08nEVK0otW2YvdeoQoBAZhKUoIiwB/kRYin7LkwUnK3PmSMuXS+npuQeo88+XzjtPatrULbbP4HHkF2EpighLgD8Rlrx15Ijb+rRw4Ylit3MLUMYmyQyGpyZNpIYN3fmfKlemJQqn9/ldLOQjAAB4PIN4q1ZuyRqgrMXJQtOKFe6+FevC27jRLXYVXlb2GWihKRiegtuzz5bKlSNI4dQISwCAuApQwbFLWe3Zkz08rVrlXn1nXXt790rffuuWnCxI2RiounVPlKy3K1QgTIGwBADwAWshCl5Fl9Xhw9LatW5w+umn7NutW90gZa1UVnJjvbAWns4660SxpV6y3rZuPptDCv5FWAIA+FaJEu7yK1ZysiVarOXJ1rv7+Wd3m7Wkprqzk1uLlZVQLChVr34iPNl+1apSlSonby180VIVfwhLAICEVLKk1LixW3JjrVIWpixIbd58omzZcmJ/2zbp+HF3zFRuUx/kFt5yBqjgvl3lFyzW/WdbazFjbT3vEZYAAAgRbGwguJVQbB08C0xZw5R1723f7hZ7LLi1liwLYBa+rOSFtUKVL589QAW3WfftGAtWNn1CsJxxBq1YkUJYAgCggGzW8WD326kcOHBygMoaqnbudMuuXe7WugBtch+7bSW/bN29rOEpZ5jK7bYNeLeuQitnnului5EUCEsAAESDTdNVr55b8rq2XjAo5QxSuW3T0txig9ZthnSbj8qWlMm5rExBWthKZwlPObfhHrOtnbd1eVoJ7ttVjfHU6kVYAgAgBiUnS9WquSU/rDXKWqVsOoVggLKS9Xaox/btO1Gsi9EcPuyW0w1dWdk4rGCAyhqiwu0PGOCO7fICYQkAAB+xFhtr0bFis5oXlE0AaqFr377s29zuC3WMFRurZcW6IYOzr1vLV/C4vLrtNsISAACIIdZVZqVixcj9TAtLhw65wSlriAru57yddT+S9YiJsHTw4EGVtDYzAACALIPOrcTbMqoFnr2hffv22mzXSOYwf/58XXDBBadbLwAAgPgOSyVKlFDz5s313nvvObczMjL0xBNP6LLLLlPnzp0jWUcAAID4C0uffvqphg8frjvvvFO33HKLE5L+/ve/a9KkSXrppZfkpVdffVV169Z1Al3r1q2d1q5wPvjgAzVu3Ng5vlmzZvrss8+iVlcAABDbTmsS9QEDBui3v/2txo0bp2+//dYJHR06dJCXrKXroYce0rBhw7Ro0SKdf/756tixo7bbrF+5mDNnjnr27Km+ffvqu+++U/fu3Z2y3JatBgAACS8pELAZGfJv9+7duuuuuzR9+nQ9++yzmjVrliZMmKBnnnlG9913n7xiLUkXXXSRXnnllczuwVq1aun+++/XkCFDTjr+pptu0oEDB5wWsaBLLrnEGXf1+uuv5+nf3Lt3r8qWLastW7aoTLyNWgMQkv1tqPrfa5W3bdumUjbpCwDfsM/vGjVqKC0tLfznd6CAatSoEbj00ksDa9euzbxv3LhxgQoVKgQ6d+4c8MKRI0cCRYsWDYwfPz7b/b169Qp07do11+fUqlUr8OKLL2a77/HHHw80b9485L9z+PDhQFpaWmbZuHGjBU4KhUKhUCiKv2Kf5eEUuBvu3nvv1VdffaV6WeZtt1aaJUuW6KjN0e6BHTt26Pjx45nfBIPsdmpqaq7Psfvzc7wZOXKk05IULNZyBQAA/Cnf8yyNHj1aXbt21WOPPZbr4zVr1tTUqVPlZ0OHDnXGRWVtxrPARDcc4C90wwH+FuyGi3hYevvtt50xSRdeeKG6devmBKcmTZooFlSqVElFixZ1/qhlZberhVhcx+7Pz/EmJSXFKTnZH1L+mAL+xPsb8B/rjcqLfHfDzZgxQ1u3bnUC08KFC50B1Q0bNtTDDz/sdMvZgGqvJCcnq2XLls6g8yCrj91u06ZNrs+x+7Meb6xlLNTxAAAgsRRozFL58uV122236f3333fGCY0aNUqHDh3SrbfeqipVqqhXr1768MMPnSbsaLPuMZvv6R//+Id++OEH9e/f36lHnz59nMetbtaNFvTAAw9o8uTJev7557Vy5UpnYk2bBmHgwIFRrzsAAPDZPEvB1pxOnTrpr3/9qzZu3KgpU6Y4E0KOGDFCL7zwgqLNBpk/99xzevzxx53L/xcvXuyEoeC4gw0bNjgtY0Ft27bVu+++qzfeeMOZk8lCnk2B0LRp06jXHQAA+GiepVAsMNmEkDYQPD09XcVtxTyfC86zdMp5GgDEFWuVLl26tLO/f/9+xiwBCfr5ne8B3qeya9cupwvMwlIiBKXC1LevZI1gJUtKZ5zhbnMr9vc7575tg8X+1icne302AADEp3yHpU8++STs42vXrj2d+iCLr76SVq+OzM8qVix7eApVzjzz5G2wWOgObu2xokUjUzcAAHwVlmzdtKSkJJv5O+Qx9jhOnw352rlTOnjQLYcOWbfAyVt7LOvtrCU93f1Zx45JaWluiRQLTBacrJQtm33fSrly2feDpXx5d2vBq8hpj5oDACDGwlL16tWdwdw2x1JubEC1Xb6P03fttaf/MywsBYPT/v3Zt/v2nbgd3LdtsATvt7J374mtBS9jj1vZsqVgdbOgZEHKwpOVChVOLhUrnthWquRu7VhCFgAgZsOSBSGbXylUWDpVqxOiy4aNBVt0IsFe2iNH3OBkrVTBrYWorFsre/acvN29290/fNjmwHJvW8kPC0oWoCw8Walc+USpUsWWq3G3wX07lnAFAIhaWBo8eHDY+ZPOPvtsffnllwWuEGKb9bCWKOEWCycFZWEpGJ6sWHejbXftOnHb9q3YfrBYGLOQtWOHW/I6XsvqapOyW6lePXuxme7POst9jGsSAACFPnVAImLqgOixNZqDwemXX04UC07bt7v7tnpNcGthKz9B0FqjatY8UWyNZCu1a7vFgpWFLyQGpg4A/M2zqQOAwmRTIARbhPIariw4paa64cmmYrB921rZvNnd2rgrG4tlx1hZuDD3n2dXAForVN26Ur167rZ+/RPF6sX1DQDgL4Ql+D5cWbixEo517VmostC0aZNbNm48UTZscLcWqGzfik3tkJPNh9WggXVHu6VhQ+mcc6RGjdxuPoIUAMQfwhLw30HjNhjcSosWuR9ji1Nbq9TPP7tl3Tpp/XqbW8wtFqBs+obly92Sk7XwNm4sNWkinXuudN55brHuPQagA0DsIiwBeRTsgrPStm3u0zRYiLKJRH/6yd3++KNbLFTZ4PT5892SlQ2JsaUImzWTLrjALc2bu/cDALzHAO8IYIA38nL135o10g8/uOX776UVK6SVK09MHJqVdddZF55NWdaqlXTRRdKFF7ozsCN6GOAN+FteP78JSxFAWEJBWVCyVqhly6QlS9yyeHHuE31aV521Pl1yidSmjXTppe74KMZBFR7CEuBvhKUoIiwh0mwahO++c6/KW7DALXblXk42xupXv5Iuv1y68kp3DBThKXIIS4C/EZaiiLCEaLCwNG+eNHeuNGeO9O237tQIWdk8Ub/+tXT11VKHDu5cUSg4whLgb4SlKCIswatxUNbiZFMYzJwpzZ7tXo2XlQ0cv+Yad51B67pjQs38ISwB/kZYiiLCEmKBrdlnLU/TpklffOFedZf13W1r5Flouv56t9XJlqxBeIQlwN8IS1FEWEIssiVhpk6VJk2SPvss+4LFZ54p2VrYN9/sBifWxMsdYQnwN8JSFBGWEOts5vGvv5bGj5c++sidoTyoUiU3NPXp407IyQDxEwhLgL/l9fObeYOBBGBjldq1k/7yF3fiTBvfdP/97oBwW4T4lVfcOZ1sLqfXXnMn0AQAuAhLQIKx+ZpsBvKXX3avsPv8c+mmm6SUFHeOp/vuk2rUkAYOdCfNBIBER1gCErzFqVMnadw4dyLMl15y1647cEB69VV3v2tX6T//yT5YHAASCWEJQObVcg884C7DYlfU2ZVzNn5p4kR30ssrrnAHjBOaACQawhKAbCwgtW8vffKJu47d3XdLyclu65JdOWczhts+ACQKwhKAkBo1kv72N2ntWrfVyeZmssHh1tJkLU+MaQKQCAhLAE7prLPc8UyrV0v33CMVLerO32QL+z74IFfPAfA3whKAfIWm1193xzVZy5LN32QhqnFj6b33GM8EwJ8ISwAK1D1nY5qmTJHOPlvautWd2PK669x9APATwhKAArMB38uWScOGuUumfPyxdN550v/9n9c1A4DIISwBOC026PuJJ6SFC90ZwG0Nuv/5H/cquoMHva4dAJw+whKAiLDB3t98Iw0d6k4/8Pe/S23aSGvWeF0zADg9vglL69evV9++fVWvXj2dccYZatCggYYNG6ajR4+GfV67du2UlJSUrdx7771RqzfgJ9YV99RT7qSWVatKS5dKrVq5Y5sAIF4Vk0+sXLlSGRkZ+tvf/qazzz5by5cvV79+/ZxVw5977rmwz7Xjhg8fnnm7ZMmSUagx4F+//rXbLXfDDdLcuVKXLtKoUVL//l7XDAASOCx16tTJKUH169fXqlWr9Nprr50yLFk4qlatWhRqCSTWNAMzZ7rzMo0d6y7Qu26d9PTTbjcdAMQL33TD5SYtLU0VbMGrU3jnnXdUqVIlNW3aVEOHDtXBU4xKPXLkiPbu3ZutADiZLZMyerT0xz+6t599VrJe7uPHva4ZACRgy1JOq1ev1qhRo07ZqnTLLbeoTp06qlGjhpYuXapHH33UaZH66KOPQj5n5MiRevLJJwuh1oD/WCvS//6vVL26dXlLb7whHTgg/eMf7kzgABDrkgKB2J5zd8iQIXra2u3D+OGHH9TYphD+r82bN+uKK65wBm+/+eab+fr3ZsyYofbt2zthywaJh2pZshJkLUu1atVyWrLKlCmTr38PSCQffCDdequUni717i299ZZUJIbbt23MY+nSpZ39/fv3q1SpUl5XCUAE2ed32bJlT/n5HfMtSw8//LB621/VMGx8UtCWLVt05ZVXqm3btnrDvsLmU+vWrZ1tuLCUkpLiFAD5YwO+rTXpxhvdcUx2LcUrrzCGCUBsi/mwVLlyZafkhbUoWVBq2bKlxowZoyIF+Mq6ePFiZ1vd+gwARNz117tdcLffLv31r+5A8N//3utaAUBoMdwAnj8WlKzbrXbt2s44pV9++UWpqalOyXqMddfNnz/fub1mzRqNGDFCCxcudOZp+uSTT9SrVy9dfvnlat68uYdnA/ibdcXZVALGxjP9+99e1wgA4rhlKa+mTp3qdJ1ZqVmzZrbHgsOy0tPTncHbwavdkpOTNW3aNL300kvO2AQbd9SjRw/94Q9/8OQcgEQyYIC0dq30wgvu+KV69aRLLvG6VgAQhwO8/TRADEB2GRlSjx7ShAmSfcdZtMi63hUzGOAN+FteP7990w0HIP7YsEIbv9SokbRpk9SzJ3MwAYg9hCUAnrIvc//3f+6VcdOnu2vLAUAsISwB8Nx550mvv+7u2zKNtq4cAMQKwhKAmHDbbe48TMeOudMKHDrkdY0AwEVYAhATbGJKm3fJ1rT+4Qfp8ce9rhEAuAhLAGJGpUru2nHmxRel5cu9rhEAEJYAxJhrr5Wuu869Kq5/f5snzesaAUh0hCUAMeell9yr477+2p1aAAC8RFgCEHNq15aGDXP3hw61ySG9rhGAREZYAhCTBg1yl0Cx5R1fftnr2gBIZIQlADEpOVkaMcLdf/ppadcur2sEIFERlgDELFv+pHlzKS1NGjnS69oASFSEJQAxvXZcMCS98oq0fbvXNQKQiAhLAGLaNddIF10kHT4sjRrldW0AJCLCEoCYn9n70Ufd/Vdflfbv97pGABINYQlAzOveXWrYUNq9W3rzTa9rAyDREJYAxLyiRaXBg93955+X0tO9rhGAREJYAhAXbr9dqlpV2rRJmjjR69oASCSEJQBxoUQJqU8fdz+42C4ARANhCUDcuOsud/vFF9K6dV7XBkCiICwBiBsNGkhXXSUFAtJbb3ldGwCJgrAEIK7cfbe7HT2agd4AooOwBCCudOsmVakibd0qTZnidW0AJALCEoC4W2D35pvd/ffe87o2ABIBYQlA3LnxRnf78cfuMigAUJgISwDiTps2Us2a0r590uTJXtcGgN8RlgDEnSJFpBtucPfff9/r2gDwO8ISgLh0003u9pNPpIMHva4NAD8jLAGISxdfLNWpIx04IH3+ude1AeBnhCUAcSkpSerRw92fNMnr2gDwM8ISgLh1zTXu1gZ526zeAFAYfBWW6tatq6SkpGzlz3/+c9jnHD58WAMGDFDFihVVunRp9ejRQ9u2bYtanQEU3K9+JZUsKaWmSkuXel0bAH7lq7Bkhg8frq1bt2aW+++/P+zxDz74oCZOnKgPPvhAs2bN0pYtW3T99ddHrb4ACi4lRfr1r919xi0BKCy+C0tnnnmmqlWrlllKlSoV8ti0tDS99dZbeuGFF/TrX/9aLVu21JgxYzRnzhx98803Ua03gNPvigOAwuC7sGTdbtal1qJFCz377LM6duxYyGMXLlyo9PR0XWXLmP9X48aNVbt2bc2dOzfk844cOaK9e/dmKwC80amTu509W+KtCKAw+Cos/fa3v9W4ceP05Zdf6p577tFTTz2lRx55JOTxqampSk5OVrly5bLdX7VqVeexUEaOHKmyZctmllq1akX0PADkXf360jnnSPa9aPp0r2sDwI9iPiwNGTLkpEHbOcvKlSudYx966CG1a9dOzZs317333qvnn39eo0aNclqCImno0KFOF16wbNy4MaI/H0DBWpemTPG6JgD8qJhi3MMPP6zevXuHPaa+fbXMRevWrZ1uuPXr16tRo0YnPW5jmo4ePao9e/Zka12yq+HssVBSUlKcAiA2XHml9PLL0tdfe10TAH4U82GpcuXKTimIxYsXq0iRIqpSpUquj9uA7uLFi2v69OnOlAFm1apV2rBhg9rYSp0A4sKll7rbFSuk3bul8uW9rhEAP4n5bri8sgHZL730kpYsWaK1a9fqnXfecaYFuO2221T+v385N2/e7Azgnj9/vnPbxhv17dvX6b6zcU424LtPnz5OULrkkks8PiMAeWXfp2zckpkzx+vaAPCbmG9ZyivrFrPB3U888YQzRqlevXpOWLIgFGRXvlnL0cEsq26++OKLTuuTtSzZ8zp27Ki//vWvHp0FgIK67DLpxx/dq+K6dPG6NgD8JCkQYJGA02VTB1grlQ32LlOmjNfVARLS6NFS377urN5ffRWZn3ngwAFnZn+zf//+sPO2AfDv57dvuuEAJDZrWTILFthcaF7XBoCfEJYA+ELDhu7YpcOHpUWLvK4NAD8hLAHwhaSkE1fF2bglAIgUwhIA3wiGJeZbAhBJhCUAvhGc8YNuOACRRFgC4BvNm7tbW4Fo506vawPALwhLAHzDrvxt0MDdX7LE69oA8AvCEgBfueACd7t4sdc1AeAXhCUAvnL++e6WsAQgUghLAHyFliUAkUZYAuDLsPTDD8zkDSAyCEsAfKVmTalCBenYMen7772uDQA/ICwB8N1M3nTFAYgkwhIA3yEsAYgkwhIA3yEsAYgkwhIA304fsHSpFAh4XRsA8Y6wBMB3GjZ0xy7t2SPt2OF1bQDEO8ISAN854wypVi13/8cfva4NgHhHWALgS+ec425/+snrmgCId4QlAL7tijO0LAE4XYQlAL5EyxKASCEsAfB1yxJhCcDpIiwB8H1YYvoAAKeDsATAl+rVk4oWlQ4elLZs8bo2AOIZYQmALxUv7gYmwyBvAKeDsATAtxjkDSASCEsAfIvpAwBEAmEJgG/RsgQgEghLAHyL6QMARAJhCYDvw9KaNdLx417XBkC8IiwB8C1bTDc5WTp6VNq0yevaAIhXvglLM2fOVFJSUq5lwYIFIZ/Xrl27k46/9957o1p3AIXD5lk66yx3n7AEoKCKySfatm2rrVu3Zrvvscce0/Tp09WqVauwz+3Xr5+GDx+eebtkyZKFVk8A0VWzprRuHWEJQMH5JiwlJyerWrVqmbfT09P18ccf6/7773dai8KxcJT1uQD81RVnCEsAlOjdcDl98skn2rlzp/r06XPKY9955x1VqlRJTZs21dChQ3XQ1kcI48iRI9q7d2+2AiB2W5bMxo1e1wRAvPJNy1JOb731ljp27Kiawb+UIdxyyy2qU6eOatSooaVLl+rRRx/VqlWr9NFHH4V8zsiRI/Xkk08WQq0BRFrwTwAtSwB827I0ZMiQkAO3g2XlypXZnrNp0yZNmTJFffv2PeXPv/vuu51Q1axZM91666365z//qfHjx2uNXWscgrU+paWlZZaNfGUFYhbdcAB837L08MMPq3fv3mGPqV+/frbbY8aMUcWKFdW1a9d8/3utW7d2tqtXr1aDBg1yPSYlJcUpAGIf3XAAfB+WKleu7JS8CgQCTljq1auXituy4/m0ePFiZ1u9evV8PxdA7IYlu1g2PV0qwJ8FAAku5rvh8mvGjBlat26d7rrrrpMe27x5sxo3bqz58+c7t62rbcSIEVq4cKHWr1/vDAq3kHX55ZerefPmHtQeQKRVqeIGpEBASk31ujYA4lERPw7stjmXLBTlZNMJ2ODt4NVuNt3AtGnT1KFDB+d46/Lr0aOHJk6c6EHNARSGIkVOTExJVxwAX3bD5de7774b8rG6des63XRBtWrV0qxZs6JUMwBedsWtX88gbwAF47uWJQAIdUUcLUsACoKwBMD3mGsJwOkgLAHwPcISgNNBWALge3TDATgdhCUAvkfLEoDTQVgCkFATUx475nVtAMQbwhIA36taVSpWTMrIcAMTAOQHYQlAQk1MSVccgPwiLAFICNWqudtt27yuCYB4Q1gCkBCC63Hv2OF1TQDEG8ISgIRQqZK7/eUXr2sCIN4QlgAkBFqWABQUYQlAQrUsEZYA5BdhCUBCtSzRDQcgvwhLABICLUsACoqwBCAh0LIEoKAISwASAi1LAAqKsAQgocLS/v3S4cNe1wZAPCEsAUgIZcu668MZWpcA5AdhCUBCSEpiYkoABUNYApAwmJgSQEEQlgAkDFqWABQEYQlAwqBlCUBBEJYAJAymDwBQEIQlAAmDiSkBFARhCUDCoGUJQEEQlgAkDFqWABQEYQlAwqBlCUBBEJYAJAxalgAUBGEJQMK1LO3cKWVkeF0bAPGCsAQg4cLS8ePSnj1e1wZAvIibsPSnP/1Jbdu2VcmSJVWuXLlcj9mwYYO6dOniHFOlShUNHjxYx44dC/tzd+3apVtvvVVlypRxfm7fvn2135YlB+A7yclSmTLuPuOWAPguLB09elQ33HCD+vfvn+vjx48fd4KSHTdnzhz94x//0NixY/X444+H/bkWlFasWKGpU6dq0qRJ+uqrr3T33XcX0lkA8BrjlgDkV1IgEAgojlgAGjRokPbkaEP//PPP9Zvf/EZbtmxR1apVnftef/11Pfroo/rll1+UbF8pc/jhhx907rnnasGCBWrVqpVz3+TJk9W5c2dt2rRJNWrUyFOd9u7dq7JlyyotLc1poQIQuy65RJo3T5owQerWLfyxBw4cUOnSpZ19a3EuVapUdCoJICry+vkdNy1LpzJ37lw1a9YsMyiZjh07Or8IazkK9RzregsGJXPVVVepSJEimmd/TUM4cuSI83OzFgDxgZYlAPnlm7CUmpqaLSiZ4G17LNRzbGxTVsWKFVOFChVCPseMHDnSSaLBUqtWrYicA4DoDPIuWVI6fNjrmgCIF56GpSFDhigpKSlsWblypWLN0KFDnSa7YNm4caPXVQKQR3//u3WvSQMHel0TAPGimJf/+MMPP6zevXuHPaZ+/fp5+lnVqlXT/Pnzs923bdu2zMdCPWf79u3Z7rOr5+wKuVDPMSkpKU4BEH+KefpXD0A88vTPRuXKlZ0SCW3atHGmF7DwE+xasyvcbMCWDeIO9RwbKL5w4UK1bNnSuW/GjBnKyMhQ69atI1IvAAAQ3+JmzJLNobR48WJna9ME2L6V4JxIHTp0cELR7bffriVLlmjKlCn6wx/+oAEDBmS2AlnLU+PGjbV582bndpMmTdSpUyf169fPeWz27NkaOHCgbr755jxfCQcAAPwtbhqkbb4kmzspqEWLFs72yy+/VLt27VS0aFFnniSbh8lajOwS3zvuuEPDhw/PfM7Bgwe1atUqpaenZ973zjvvOAGpffv2zlVwPXr00MsvvxzlswMAALEq7uZZikXMswT4E/MsAf6WcPMsAQAAFAbCEgAAQBiEJQAAgDAISwAAAGEQlgAAAMIgLAEAAIRBWAIAAAiDsAQAABAGYQkAAMAPy53EsuAk6DYTKAB/zeAdZO9vW5cSgH8EP7dPtZgJYSkC9u3b52xr1arldVUAFBIW1wb8/Tluy56EwtpwEZCRkaEtW7bozDPPVFJSUkQTrwWwjRs3+nbNOb+fI+cX//x+jpxf/PP7Oe4txPOzCGRByb4MFSkSemQSLUsRYL/gmjVrFtrPt/8cfnwDJNI5cn7xz+/nyPnFP7+fY5lCOr9wLUpBDPAGAAAIg7AEAAAQBmEphqWkpGjYsGHO1q/8fo6cX/zz+zlyfvHP7+eYEgPnxwBvAACAMGhZAgAACIOwBAAAEAZhCQAAIAzCEgAAQBiEpRiyfv169e3bV/Xq1dMZZ5yhBg0aOFcAHD16NOzzDh8+rAEDBqhixYoqXbq0evTooW3btikW/elPf1Lbtm1VsmRJlStXLk/P6d27tzMzetbSqVMnxaqCnKNdZ/H444+revXqzmt/1VVX6aefflIs2rVrl2699VZncjg7P/s/u3///rDPadeu3Umv4b333qtY8eqrr6pu3boqUaKEWrdurfnz54c9/oMPPlDjxo2d45s1a6bPPvtMsSw/5zd27NiTXit7Xqz66quvdO211zozMFtdJ0yYcMrnzJw5UxdeeKFzddXZZ5/tnLNfzs/OLefrZyU1NVWxaOTIkbroooucFTCqVKmi7t27a9WqVad8XrTfg4SlGLJy5Upn6ZS//e1vWrFihV588UW9/vrr+v3vfx/2eQ8++KAmTpzo/OeZNWuWs/TK9ddfr1hkwe+GG25Q//798/U8C0dbt27NLP/+978Vqwpyjs8884xefvll5/WeN2+eSpUqpY4dOzpBONZYULL/n1OnTtWkSZOcP+Z33333KZ/Xr1+/bK+hnXMseO+99/TQQw85X0wWLVqk888/3/ndb9++Pdfj58yZo549ezoh8bvvvnP+uFtZvny5YlF+z89YEM76Wv3888+K5cWO7ZwsEObFunXr1KVLF1155ZVavHixBg0apLvuuktTpkyRH84vyAJH1tfQgkgsmjVrlvNl/5tvvnH+pqSnp6tDhw7ZFrGOifegTR2A2PXMM88E6tWrF/LxPXv2BIoXLx744IMPMu/74YcfbDqIwNy5cwOxasyYMYGyZcvm6dg77rgj0K1bt0C8yes5ZmRkBKpVqxZ49tlns72uKSkpgX//+9+BWPL99987/7cWLFiQed/nn38eSEpKCmzevDnk86644orAAw88EIhFF198cWDAgAGZt48fPx6oUaNGYOTIkbkef+ONNwa6dOmS7b7WrVsH7rnnnoAfzi8/781YY/83x48fH/aYRx55JHDeeedlu++mm24KdOzYMeCH8/vyyy+d43bv3h2IR9u3b3fqP2vWrJDHePEepGUpxqWlpalChQohH1+4cKGTxK3bJsiaJmvXrq25c+fKL6xp2b4ZNWrUyGmx2blzp/zCvulaE3nW19DWKrLuklh7Da0+1vXWqlWrzPus3rY+orWIhfPOO++oUqVKatq0qYYOHaqDBw8qFloB7T2U9Xdv52K3Q/3u7f6sxxtrqYm116qg52esW7VOnTrO4qXdunVzWhL9Ip5ev9NxwQUXON36V199tWbPnq14+swz4T73vHgNWUg3hq1evVqjRo3Sc889F/IY+5BNTk4+aWxM1apVY7aPOr+sC866FW0s15o1a5xuyWuuucZ5YxQtWlTxLvg62WsW66+h1Sdnc36xYsWcP2zh6nrLLbc4H7427mLp0qV69NFHnW6Cjz76SF7asWOHjh8/nuvv3rrFc2PnGQ+vVUHPz76QjB49Ws2bN3c+uOzvj43Bs8BUmAuGR0uo189Wtj906JAzZjCeWUCy7nz7QnPkyBG9+eabzphB+zJj47RiWUZGhtMteumllzpfqkLx4j1Iy1IUDBkyJNcBd1lLzj9cmzdvdkKCjX2xsR5+O7/8uPnmm9W1a1dnEJ/1S9s4mQULFjitTX45R68V9vnZmCb75mevoY15+uc//6nx48c74RexpU2bNurVq5fTMnHFFVc4gbZy5crOWErEPgu799xzj1q2bOmEXAu+trUxsLFuwIABzrijcePGKdbQshQFDz/8sHNFVzj169fP3LcB2jb40P6Dv/HGG2GfV61aNaepfc+ePdlal+xqOHssFs/vdNnPsu4ca3lr37694v0cg6+TvWb2rTDIbtsHViydn9U158DgY8eOOVfI5ef/m3UxGnsN7apPr9j/I2udzHn1aLj3j92fn+O9VJDzy6l48eJq0aKF81r5QajXzwa1x3urUigXX3yxvv76a8WygQMHZl4wcqoWTC/eg4SlKLBvZVbywlqULCjZt4IxY8Y44wvCsePsj9n06dOdKQOMdW9s2LDB+YYYa+cXCZs2bXLGLGUNFvF8jta9aG9yew2D4ci6BKzZPL9XDRb2+dn/KQvmNg7G/u+ZGTNmOM3nwQCUF3YVkonma5gb68K287DfvbVaGjsXu21/vEP9Duxx6y4Isqt4ovV+K+zzy8m68ZYtW6bOnTvLD+x1ynmZeay+fpFi7zev32uh2Lj1+++/32lptt4C+3t4Kp68Bwtt6DjybdOmTYGzzz470L59e2d/69atmSXrMY0aNQrMmzcv87577703ULt27cCMGTMC3377baBNmzZOiUU///xz4Lvvvgs8+eSTgdKlSzv7Vvbt25d5jJ3fRx995Ozb/b/73e+cK/vWrVsXmDZtWuDCCy8MNGzYMHD48OGAH87R/PnPfw6UK1cu8PHHHweWLl3qXP1nV0EeOnQoEGs6deoUaNGihfN/8Ouvv3Zei549e4b8P7p69erA8OHDnf+b9hraOdavXz9w+eWXB2LBuHHjnCsPx44d61ztd/fddzuvRWpqqvP47bffHhgyZEjm8bNnzw4UK1Ys8NxzzzlXng4bNsy5InXZsmWBWJTf87P/t1OmTAmsWbMmsHDhwsDNN98cKFGiRGDFihWBWGTvq+B7zD7SXnjhBWff3ofGzs3OMWjt2rWBkiVLBgYPHuy8fq+++mqgaNGigcmTJwf8cH4vvvhiYMKECYGffvrJ+T9pV6EWKVLE+dsZi/r37+9cfTlz5sxsn3kHDx7MPCYW3oOEpRhil+zamyG3EmQfNnbbLg8Nsg/U++67L1C+fHnnj8B1112XLWDFEpsGILfzy3o+dtt+F8beMB06dAhUrlzZeTPUqVMn0K9fv8w/9H44x+D0AY899ligatWqzgebBeZVq1YFYtHOnTudcGRBsEyZMoE+ffpkC4I5/49u2LDBCUYVKlRwzs2+ENgHVVpaWiBWjBo1yvnCkZyc7Fxq/80332Sb9sBe06zef//9wDnnnOMcb5ehf/rpp4FYlp/zGzRoUOax9v+xc+fOgUWLFgViVfBS+ZwleE62tXPM+ZwLLrjAOUcL7lnfi/F+fk8//XSgQYMGTsC191y7du2cL9KxSiE+87K+JrHwHkz6b2UBAACQC66GAwAACIOwBAAAEAZhCQAAIAzCEgAAQBiEJQAAgDAISwAAAGEQlgAAAMIgLAEAAIRBWAIAAAiDsAQAABAGYQkAACAMwhIA5PDLL7+oWrVqeuqppzLvmzNnjpKTkzV9+nRP6wYg+lhIFwBy8dlnn6l79+5OSGrUqJEuuOACdevWTS+88ILXVQMQZYQlAAhhwIABmjZtmlq1aqVly5ZpwYIFSklJ8bpaAKKMsAQAIRw6dEhNmzbVxo0btXDhQjVr1szrKgHwAGOWACCENWvWaMuWLcrIyND69eu9rg4Aj9CyBAC5OHr0qC6++GJnrJKNWXrppZecrrgqVap4XTUAUUZYAoBcDB48WB9++KGWLFmi0qVL64orrlDZsmU1adIkr6sGIMrohgOAHGbOnOm0JP3rX/9SmTJlVKRIEWf/P//5j1577TWvqwcgymhZAgAACIOWJQAAgDAISwAAAGEQlgAAAMIgLAEAAIRBWAIAAAiDsAQAABAGYQkAACAMwhIAAEAYhCUAAIAwCEsAAABhEJYAAAAU2v8DVjjRnRDnG4MAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 绘制图像\n",
    "def plot_f(min, max, n, f, label, color='blue'):\n",
    "\tx_range =np.linspace(min, max, n)\n",
    "\tplt.plot(x_range, f(x_range), label=label, color=color)\n",
    "\n",
    "def show_plot(fun_name):\n",
    "\tplt.axhline(0, color='black')\n",
    "\tplt.axvline(0, color='black')\n",
    "\tplt.legend([fun_name])\n",
    "\tplt.xlabel('x')\n",
    "\tplt.ylabel(fun_name)\n",
    "\n",
    "# 反比例函数\n",
    "def f_inverse(x):\n",
    "  return 1/x\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-2, -0.1, 100, f_inverse, '1/x')\n",
    "plot_f(0.1, 2, 1000, f_inverse, '1/x')\n",
    "\n",
    "# 标注坐标轴\n",
    "show_plot('1/x')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "# e指数函数\n",
    "def f_exp(x):\n",
    "  return np.exp(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-2, 2, 100, f_exp, 'e^x')\n",
    "\n",
    "# 标注坐标轴\n",
    "show_plot('e^x')\n",
    "\n",
    "# 显示图像\n",
    "plt.show()\n",
    "\n",
    "# 正切函数\n",
    "def f_tan(x):\n",
    "  return np.tan(x)\n",
    "\n",
    "# 绘制图像\n",
    "plot_f(-3*np.pi/2+0.1, -np.pi/2-0.1, 100, f_tan, 'tan(x)')\n",
    "plot_f(-np.pi/2+0.1, np.pi/2-0.1, 100, f_tan, 'tan(x)')\n",
    "plot_f(np.pi/2+0.1, 3*np.pi/2-0.1, 100, f_tan, 'tan(x)')\n",
    "plt.axvline(-np.pi/2, color='black')\n",
    "plt.axvline(np.pi/2, color='black')\n",
    "\n",
    "# 标注坐标轴\n",
    "show_plot('tan(x)')\n",
    "\n",
    "# 显示图像\n",
    "plt.show()"
   ]
  }
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